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Finding the Third Proportional to 61,023.38 and 126,724.50

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Solution

The third proportional to 61,023.38 and 126,724.50 is: 263,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,023.38 : 126,724.50 = 126,724.50 : x
  2. Step 2: Convert to fraction form
    61,023.38/126,724.50 = 126,724.50/x
  3. Step 3: Cross multiply
    61,023.38x = 126,724.50 × 126,724.50
  4. Step 4: Simplify right side
    61,023.38x = 16,059,098,900.25
  5. Step 5: Solve for x
    x = 16,059,098,900.25/61,023.38
  6. Step 6: Final answer
    x = 263,163.07

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.